The New York Mets, Philadelphia Phillies, Cincinnati Reds, Tampa Bay Rays, and even the Brewers are considering signing the 31-year-old to a deal that would carry over into 2020, according to Matt Ehalt of Yahoo Sports.
Jeffress won't be eligible for a postseason roster this year.
The right-hander struggled in 2019 prior to his release. He posted a 5.02 ERA and 1.37 WHIP over 52 innings in relief. That came in stark contrast to his All-Star 2018 campaign, during which he recorded a 1.29 ERA and 0.99 WHIP with 89 strikeouts in 76 2/3 innings.